- Turkish Journal of Mathematics and Computer Science
- Vol: 12 Issue: 2
- On The Solution of an Infinite System of Discrete Equations
On The Solution of an Infinite System of Discrete Equations
Authors : Anar ADİLOĞLU, Mehmet GÜRDAL
Pages : 157-160
Doi:10.47000/tjmcs.822830
View : 5 | Download : 3
Publication Date : 2020-12-31
Article Type : Research
Abstract : In this work, we construct the transformation operator for the infinite system of the difference equations $a_{n-2}y_{n-2}+b_{n-1}y_{n-1}+c_{n}y_{n}+b_{n}y_{n+1}+a_{n}y_{n+2}=\lambda y_{n}$ $(n=1,2,...)$, where $a_{n}\neq0,$ $b_{n},$ $c_{n}$ $(n=1,2,3,...)$ are given complex numbers, investigate some important properties of the special solutions of the difference system.Keywords : Difference equation, Jacobi matrix, Transformation operators, Direct problem, Inverse problem